{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 11.7 Moving Window Functions（移动窗口函数）\n",
    "\n",
    "一种用于时间序列操作的重要用法，是使用滑窗（sliding windown）或呈指数降低的权重（exponentially decaying weights），来对时间序列进行统计值计算和其他一些函数计算。 这个对于消除噪声或有缺陷的数据是很有用的。这里我们称之为Moving Window Functions（移动窗口函数），不过其中也包括了不适用固定长度窗口的函数(functions without a fixed-length window)，比如指数加权移动平均数（exponentially weighted moving average）。和其他一些统计函数以后，这些函数也会自动无视缺失值。\n",
    "\n",
    "我们先加载一些时间序列数据并按工作日频度进行重采样："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "close_px_all = pd.read_csv('../examples/stock_px_2.csv',\n",
    "                           parse_dates=True, index_col=0)\n",
    "\n",
    "close_px = close_px_all[['AAPL', 'MSFT', 'XOM']]\n",
    "\n",
    "close_px = close_px.resample('B').ffill()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下面介绍rolling操作符，效果和resample及groupby一样。通过window（用于表示周期的数字），这个操作符可以在Series或DataFrame上调用："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11dc5ce10>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xxpcP826T616B+68Y1C0KcSIiIiIiMuweWmxNg9za2tVSoDVoBbLKZPDyOO3p7z42tYq9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\nngk9JkFQ1xYfiqIopOUbGN9TLe4yomvNgL1TkBdGU2UQ1z/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wpgnmfbSV5NxSLFaFqEAX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\nAMeVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11dc66fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "close_px.AAPL.plot()\n",
    "close_px.AAPL.rolling(250).mean().plot(figsize=(15, 8))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里的`rolling(250)`和groupby的效果一样，但并不是直接进行分组，而是创建了一个新的对象，并在一个有250天的滑窗上进行了分组。所以这里对于苹果的股价，我们得到了一个250天移动窗口平均值（moving window average）。\n",
    "\n",
    "默认情况下滚动函数（rolling functions）需要窗口中所有的值为non-NA。如果有缺失值的话，我们会得到更少的windown周期："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2003-01-09         NaN\n",
       "2003-01-10         NaN\n",
       "2003-01-13         NaN\n",
       "2003-01-14         NaN\n",
       "2003-01-15    0.077496\n",
       "2003-01-16    0.074760\n",
       "2003-01-17    0.112368\n",
       "Freq: B, Name: AAPL, dtype: float64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "appl_std250 = close_px.AAPL.rolling(250, min_periods=10).std()\n",
    "appl_std250[5:12]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11d66fc50>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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168fp/knsbVBWNQ0ACrN10GWo0KuwEf2ddg/qFHQWqjQ3C0U5OpxaYqLWEanA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\nAAAAwgxFDQAAAADCDEUNAAAAAMLM/wdn4yzUHXDRewAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d681ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "appl_std250.plot(figsize=(15, 8))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为了计算扩张窗口平均（expanding window mean），我们要使用expanding操作符，而不是用rolling。这个扩张平均的时间窗口是从时间序列开始的地方作为开始，窗口的大小会逐渐递增，直到包含整个序列。一个扩张窗口平均在时间序列上的计算像下面这样，我们拿apple_std250来做例子："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "expanding_mean = appl_std250.expanding().mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在一个DataFrame上的每一列调用移动窗口函数："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11d1cf3c8>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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26P2aRD0FCxwREZEe2Ha2EJllDXhmXB8o5J3/17eBXIanxvRBVllDm+8Vy61o\nxI9xhZgV5QEP266xlE4mE7BgmDfOFdXi1MUqqePoPVEU8fauNDy9NRlR3rbYsXQofOzNpY5F1C2w\nwBEREXVxtc1qvLcnHf09rDE2yEmyHOOCnRDiaoUP92W06dy0jw5kQiEXsHSkTzuma7tp/d1gY2aI\nL4/lSB1Fr+l0Ip7fkYL/HMnG7CgPrJ83AFamCqljEXUbLHBERERd3If7MlDV2IJX7wyGIEi37bog\nCHh6bB8U1TTjhzMFtzRGRmk9diQW4YEhXnCw6PxjA67HWCHH3EGe2J9ahvSSjjv3rjsTRRHPbEvG\nplP5WDLCB6/fFQwDCWaMibozfkcRERF1YecKa7HhZC5mR3l22q6T1xPtZ4cobxt8fCALSvXNz8J9\nsDcDZoYGePi2rjX7dtm8oV6wMDbAqr3pUkfRS2sPZ2NrfCEevd0Pz4ztI+kPHIi6KxY4IiKiLkqj\n1eFf25Nha26Ep8b2kToOgD9n4R67wx8VDSpsjS+8qc89V1iL3edLsGCYN3qZGXZQwraxNjXE4tt6\nY9+FUsTnVUsdR68cSivDqr3pmNzPBY/f4cfyRtRBWOCIiIi6IFEU8cG+DKQU1eGlyYGwMuk69xAN\n6m2DMHdrrDuac1Pnpr2/Lx3WpgrJDu1urXlDvWFnboT39rTvuXfdWUFVE1ZsTkBfJ0u8Oy2U5Y2o\nA7HAERERdTGiKOLdPelYezgb90W6Y2KIs9SRriIIApaM8EF+VRN+T2nduXBncqtwOL0cDw/3gYVx\n1ymj12JmZIBHRvkiNqcKJ3MqpY7T5bVodFgekwBRBP4zJwImhtIdyk7UE7DAERERdSFqrQ7PbE3G\nZ4ezMSvKA29NDemSsxmj+zrCx94Maw5m3vBcOFEU8cbOVDhaGuGBwV6dE7CN7hvgDidLY6zen8lZ\nuOsQRRHPbT+HpIIavHtPaJc5FoKoO2OBIyIi6iJqm9R48JvT2BJfiBW3++GNu4Ihk3W98gb8eW7a\nE6P7IKO0AVvirr8j5a/Jl5BYUIMnx/TRm9kZY4UcS0f64PRFzsJdz5qDWdjy301LxnexmWKi7ooF\njoiIqAvILm/A3Wv/wOmLVVg1vR8eH+3fJWfe/mpCiBMiPHvh/X0ZaFBprnlNbZMab+5MRV9nS0zr\n79bJCdvm3kjOwv0TURTx8YFMvL8vA3eHu+LxO/ykjkTUY7DAERERSexQehnuWvMHapvV+H7RINwT\noR9FRxCF68dpAAAgAElEQVQEPD+xLyobVHhscwJaNFdvaKLW6rDihwRUNKjwzrQQyLvobOI/uWoW\nLpuzcJeJoohVe9Pxwb4MTO3vilXT+3X5HzYQdScscERERBIRRRGfH8nG/PVn4G5jip+XD8UALxup\nY92UcI9eeOXOYOxPLcPcr06hrF4J4M/XtnLbORxOL8drdwUj1M1a4qS35vIs3Pv7MjgLB0CrE/Ha\nb6n49FA2Zg50x6p7+uldMSfSdwZSByAiIuqJyuqVeG57CvZdKMXEEGe8Nz0Upob6+dfy3EGesDAy\nwMqfkjHivcOYEOKM5hYtdp67hCdG+2PmQA+pI94yY4Ucj9zui+e2p+B4VgWi/eyljiSZ/Mom/Gt7\nMv7IqsSDQ7zw0uRAzrwRSUA//6YgIiLSUxUNKnx9/CI2nMxDi1aH5yf2xYJh3nr/RviucFcEu1ri\n8yM52JVSgsYWDRYP741HRvlKHa3N7olwwwd7M/DtibweWeDUWh2+OJaD1fszYSAT8PbUENw3wF3v\nv2aJ9BULHBERUSdo0ejwycFMfH40B2qtDhNCnPHEaH/42JtLHa3d+DpY4L3p/fDaXcGoU6rhYGEs\ndaR2YWQgx8yBHvj0cBYKqprgbtNztsqvamzB4o1xOJNbjfHBTnhpchCcrLrHf1cifcUCR0RE1IEK\nqpqw+Uw+diQUo6imGXeHu2L5KN9uVdz+l7FCDmOFfhwX0Fqzov4scD+dLcKKHrLjYlmdEjO+iEVR\ndTM+mhGGO8NcpY5ERGCBIyIianf1SjV+SSrG3vOlOJZZDkEQMNDLBm9NDcFt/j1vCV534GJtgoFe\nNvglqQiP3u7b7ZcPXi5vJbVKbFwQhYHe+rW5DlF3xgJHRETUTkRRxMbYPHywLwM1TWp42Jjiodt8\n8MAQTzhbmUgdj9pocj8XPL8jBWkl9ejrbCl1nA7z1/L27fyBerczKlF3xwJHRETUDkRRxLt70vHZ\n4WwM87XDU2P7oJ+bVbefqelJxgc74aVfzuPXpOJuW+AqG1Qsb0RdHM+BIyIiaiNRFPHqbxfw2eFs\nzIrywIb5AxHmbs3y1s3YmhthqK8dfk0u7pZnwinVWizcEIei6mZ88+AAljeiLooFjoiIqI3WHs7G\nN3/kYt5QL7xxVzBkPNi425oc6oyCqmYkFdZKHaXdfbg/Awn5NVh9XxiiettKHYeI/gELHBERURuk\nl9Rj9f4MTAx1xouTeLBxdzcmyAmGchl+TSqWOkq7Si6swbqjOZg50B3jQ5yljkNE18ECR0REdIu0\nOhHPbEuGpbECr90ZzPLWA1iZKHCbvz1+Sy6GTtc9llGKoog3f0+Fjakh/j2hr9RxiOgGWOCIiIhu\nUczpfCQV1ODFyYGwMTOUOg51komhTiitUyGxsEbqKO3icHo5YnOq8OjtfrAwVkgdh4hugAWOiIjo\nFlQ2qPDennQM7m2LKf1cpI5DnWhUgCMMZAL2pJRIHaXNtDoRb+9Kg6etKWYO9JA6DhG1AgscERHR\nLXhndxoaVRq8emcQl072MFYmCgzxtcOe8yV6vxvlb8nFSC+tx1Nj+sDQgG8LifQBv1OJiIhuUnxe\nNX6MK8SCYd7wc7SQOg5JYFyQE3Irm5BeWi91lFum0erw0YFMBDhZYCI3LiHSGyxwREREN0Gj1eGF\nHSlwsjTGo7f7SR2HJDI60BGCAOzW42WUXxy7iJzyRjw+2p9HXxDpERY4IiKim7DpVD4uXKrDC5MC\nYWZkIHUckoi9hREGeNrobYFLK6nDh/syMD7YCWMCHaWOQ0Q3gQWOiIiolcrrVVi1Nx3RfnaYEOIk\ndRyS2NhgJ6SV1CO3olHqKDelRaPDkz8mwdLEAK/fxeMviPQNCxwREVEriKKIF3akQKnW4uUp3LiE\ngLFBf85c7TmvX7Nw7+9Lx/niOrxxdwhszY2kjkNEN4kFjoiIqBXWHs7G7vMleHpsH/jYm0sdh7oA\nt16mCHG1wm49KnAHUkvx+ZEczI7ywNggziIT6SMWOCIiohs4lF6GVXvTMaWfCxZF95Y6DnUh44Kd\nkJBfg5JapdRRbqiophlPbklCkIslXpgUKHUcIrpFLHBERETXcbGiEStiEhDgZIl3poVy6SRd5fIs\n1t4LXXsWTq3V4ZHvz0KjFfHprP4wVsiljkREt4gFjoiI6B80qDR4aEMc5DIB6+ZGwMSQb3rpar4O\n5vB1MMeuc127wL2/NwNn82vw9rQQeNmZSR2HiNqABY6IiOgadDoRT/2YhOzyBqyZ1R/uNqZSR6Iu\nakKIM05drERxTbPUUa7pSEY5/nMkG7OiPDAp1EXqOETURixwRERE1/DBvgzsPl+Cf0/oi6G+dlLH\noS5seoQbRAA/nCmQOsrflNUp8cQPiejjaIEXed8bUbfAAkdERPQ/fkkqxppDWZgxwB0LhnlLHYe6\nOHcbU9zmZ48fzhRAo9VJHecKrU7EYz8korFFgzWzwnnfG1E30e4FThCEuwRB+EIQhB8EQRjT3uMT\nERF1pPzKJvz7p3MY4NULr/GQY2qlWVEeKKlTYt+FUqmjXLH2UBZOZFfi1SnB8HO0kDoOEbWTVhU4\nQRC+FgShTBCElP95fJwgCOmCIGQJgrASAERR3CGK4iIADwO4r/0jExERdQy1VodHNydAEIDVM8Kh\nkHOhCrXO7QEO8LE3wzu706DSaKWOg9MXq/Dh/gzcGeaC6ZFuUschonbU2r+Z1gMY99cHBEGQA/gU\nwHgAgQBmCoLw18XVz//340RERHrh4wOZSCyowVtTQ+BqbSJ1HNIjBnIZXp4ShNzKJnx9PFfSLNWN\nLVixOQEeNqZ44+4QziITdTOtKnCiKB4FUPU/Dw8EkCWKYo4oii0ANgO4U/jTOwB2iaJ4tn3jEhER\ndYzYnEqsOZSF6RFu3KmPbkm0nz3GBDrik4OZKK2T7mDvN39PRXm9Cmtm9Ye5kYFkOYioY7RlbYgr\ngL9ut1T438ceAXAHgHsEQXj4nz5ZEISHBEGIEwQhrry8vA0xiIiI2qaqsQWPbU6El60ZXp4SJHUc\n0mPPTwyERifijZ2pkjx/XG4VtsQXYmF0bwS7WkmSgYg6Vrsv7hdF8WNRFCNEUXxYFMX/XOe6daIo\nRoqiGGlvb9/eMYiIiFpFFEU8vSUJVY0t+GRmOMw4Y0Ft4GFriiXDffBLUjFOZld26nNrtDq88PN5\nuFgZ49HbfTv1uYmo87SlwBUBcP/L793++xgREZHe+OJYDg6klWHl+ADOWFC7WDLCBy5Wxnh7V2qn\nHiuw4WQeUi/V4flJgTA15A8iiLqrthS4MwD8BEHwFgTBEMAMAL+0TywiIqKOF5tTiXd2p2N8sBPm\nDfWSOg51E8YKOZ4dH4Ckwlqs/OkctDqxw5+zpFaJD/ZlYLi/PcYHO3X48xGRdFr14xlBEGIAjABg\nJwhCIYCXRFH8ShCE5QD2AJAD+FoUxfMdlpSIiKgdpRTVYtGGOHjamuLde0K5Ux+1qzvDXHGxohGr\n92ciraQOo/o4YGywE4Jc2n+WV/Pf4y+0OhGv3hnEr2Wibk4QxY7/qdCNREZGinFxcVLHICKiHiKt\npA4z1sXCzNAAPyweBLdeplJHom5qR0IR/nMkGxml9QCAsUFOuHeAO27zs4dc1vaiVdukxnM7zuG3\n5Ev4aEYY7gxzbfOYRCQNQRDiRVGMvNF1XCBNREQ9ysWKRsz58jSMDeSIWcTyRh3rrnBX3BXuitom\nNdYezsKW+ELsSilBmLs1PpkZDnebW//6y61oxIx1sSitV+LZcQEsb0Q9BGfgiIioxyioasKMdbFo\nVmvx4+LB8HUwlzoS9TAtGh1+SSrGK7+ehwBgw4IohLlbX3VNU4sGyYW1MFHI4W5jChszw7+Nk1ZS\nhwe+Pg21VsQ3Dw5Av/8Zg4j0D2fgiIiI/uJYZjkeiUmATidi08JBLG8kCUMDGe6JcEOUtw1mf3kK\nc786hY1/KXFn86uxbNNZXKr9/4PA7S2MMHOAO+YO9oK9hRH+yKrAw9/Fw9Twz1nkPk4WUr0cIpIA\nZ+CIiKhbU2t1WHc0B+/vTYefgwU+nxsBLzszqWMRobimGTPWxaKwugkDvW2g1oqIz6uGk6UxXp4S\nCAOZDLmVjYjNqcL+1FKYGsrR294MKUV18HUwx7fzB8LV2kTql0FE7aS1M3CSFjhBECYDmOzr67so\nMzNTshxERKT/0kvq8UdWBeQyAYYGMqjUWpy6WIU/sipQp9RgYqgz3p0WyoO6qUspr1fh2xO5OJxR\nBoVchpF9HDB/mDfM/+frNKusHh/uz0RJrRKjAhzw4BAvfi0TdTN6UeAu4wwcEREBgFYnokGlgamh\nHAp5644qTSqowaq96TiWWfG3jzlbGeM2P3uMD3HCcH97bq9ORERdFu+BIyIivVBWr8TvyZfwW/Il\nJBTUXDn02NBAht52Zgj36IX+HtYY4GUDDxtTyGQC1FodEgtqsPFkHn5JKoaduSGeGdcH0/q7wUAm\nQK0VIQiAg4URSxsREXUrLHBERCSJygYV/r39HPZeKIUoAgFOFlgU3Rt25oZobtGiXqVBWkk9fksu\nRszpfACAIABmhgZQa3VQaXQwVsiwfKQvHh7h87clZ0RERN0R/7YjIqJOd6G4DvPWn0Z1kxrLRvji\nrnAX+Dpceyc9nU5EVnkD4vOqcammGfUqDeSCgEivXhjsYwcrE0UnpyciIpIOCxwREXUaURTx09ki\nvLbzAkwUcmxfOgRBLlbX/RyZTIC/owX8HblVOhEREQscERF1irSSOrz483mcvliF/h7W+ODeMG7n\nT0REHUatU0OlUcFUYQqZ0LqNsfQBCxwREXUYlUaL70/lY0dCEZIKa2FlosBbU0NwX6Q7ZDJuLtIR\nmjXNqGyuRKO6EQAgCAJqlDW4WHsRSq0SpgpTuJm7wcHUAd5W3l3iTY0oiihuLEZVcxUqlZXIq8tD\nQX0BqpXVaNI0wcTABOYKc5gpzBBkF4RR7qNgqjCVOjYRdTEanQZxpXE4WngUpy+dRnZNNjSiBgIE\nWBlZwcPSA16WXvCy9IKnpSc8LT1ha2ILC0MLGMmNpI7fajxGgIiIOsSF4jo88WMi0krqEexqicmh\nLpge6Q4bM0Opo+mty0UnqSwJuXW5qFJWoUpZhcrmSlQ0V6BS+f/FrTUcTBxwh+cdiHaLhpelF5zN\nnCGXyTvwFfypRduC9Kp0JJQlIKEsAYnliahovvoYCCsjK9gY28DEwAQqjQr16nrUt9SjWdMMM4UZ\n5vSdg/nB81nkiHo4URQRXxqP33J+w8H8g6hWVcNQZohwh3CE2ofCysgK9S31qFJWIa8uD7l1uShr\nKvvbOAqZAk5mTgi0DUSYfRju8LwDTmZOnfpaeA4cERFJQqPV4fOjOVi9PwPWpoZ4e2oIbu/rKHUs\nvSWKIpLKk/D7xd9xpOAIihuLAeDKT5RtjG1ga2ILO2M72JrY/vnL2BbmhuZXxjBXmMPbyhvmCnM0\nqBuQX5eP4sZiHMo/hONFx9GiawEAGAgGcDZ3hou5C0wNTGFiYAITAxOYKkxhrjBHoG0gIhwjYGF4\nc/cjXn6DtTdvLxLLEpFZkwmNTgMAcDV3RbhDOMLsw+Bs7gwrIyt4WnjC2tj6b+PoRB0SyhKwKXUT\n9uXtg52JHZaGLcWdPnfCUM4fDBD1JKIo4njRcXyS8AlSq1JhamCK4e7DMcZzDIa6DoWJgck/fm6T\nugl5dXnIq8tDtaoajepG1LfUo6C+ABcqL6CooQjAnz/kcrNwu/L/WSczJ7iZu8HV3BUu5i6wMbZp\n16NqWOCIiKjTNao0WPDtGcTmVGFSqDNeuzMYvTjj1mqiKKKupQ4ljSUobSrF2dKz2HVxF4obi2Ek\nN8IQlyEY5DwI/R37o7dV73YpLQ0tDUirSkN+fT4K6wuRV5eH0qZSNGua0axpRpO66cq/ixChkCkw\n2GUwRrqPxCiPUbAxtvnHsTU6Dfbm7sWm1E1IrkiGiYEJ+tn3Q5BtEILsgtDPvh8cTB1uKXdiWSJW\nxa1CUnkS7E3sMbvvbEzvMx2Whpa3+kdBRHoioSwBq+NX42zZWbiZu+Gh0IcwznvcdUvbzciry8PR\nwqNIrUxFSVMJqpqrUKGsQK2q9qrrbIxtEO0ajbmBc9HHpk+bn5cFjoiIOlVzixYPfHMa8XnVeGda\nKO6JcJM6kl5Qa9U4kH8Au3N349SlU2hQN1z5mFyQY5DLIEz0noiR7iOvmlXrbCqtCsnlyThUcAgH\n8w+iqKEIhjJDTPaZjKl+UxFsF3zlfrpqZTV2XdyF71K/Q0F9ATwtPTGn7xxM8ZnSrkseRVHEyUsn\n8U3KN4i9FAszhRmeiHgC0/2n8wB3om4ovSodHyd8jKOFR2FnYoeHQx/GVL+pUMg75ziZRnUjihqK\nUFRfhOLGYiSXJ+No4VE0qBsw1mssloUtg7eV9y2PrxcFThCEyQAm+/r6LsrMzJQsBxERtY0oilix\nORG/JhfjoxnhmNLPRepIXV55Uzk2p2/G1oytqFJWwcHUAdGu0fC28oaTmRMcTR3hbeUNK6PrH7Mg\nBVEUkVGdgR/Sf8Av2b9ApVXB1tgWPtY+ECEioTQBGlGDYNtgLAxdiJHuIzt8s5TUylR8EP8BYi/F\nYqzXWLw65FXeH0fUTeTX5WNN4hrsvrgb5obmWBC8ALP6zmq3Gbe2qGupw/qU9fgu9TuotCpM95+O\nFf1X3PRSc0BPCtxlnIEjItJvXx7Lwes7U/H02D5YNtJX6jiSalI3obChEDpRB41Og/qWetSoalCj\nqkFxQzEyazKRVZ2F0qZSCBAw3G04ZgTMwGCXwV1iR8ibVauqxbGiYzhedByF9X++7gjHCEzqPald\nlhTdDJ2ow/rz6/HR2Y/gY+2Dd6PfhW+vnv31SKTPLn9Pf3L2EyjkCszpOwcPBj/YJZdKVzZXYl3y\nOmxO3wwTAxNM6j0J9/a5F/69/Fs9BgscERF1ihNZFZjz1SmMDXLC2tn9e9zStcv3eR0rOoaEsgRc\narwEnai75rWGMkP0tu4NX2tf+Fr74naP2+Fl5dW5gXuAE0Un8MyxZ1DfUo8J3hMwzW8a+jv218uC\nTNRT1bXU4bljz+Fw4WGM9hyNf0f9G3YmdlLHuqHUylR8l/oddl/cjRZdC0LtQjHVbyrGe4+/4aoA\nFjgiIupw2eUNmP6fk7A1M8T2ZUNhbtSzjhdNrUzFyydfxoXKC+hl1AsDnAbAx9oHva16QyFTwEBm\nAHNDc1gbWV/51Rnb9NOf9+F9ee5LbM3YiiZNEzwtPfFI+CMY4zmmx/2QgUjfFDcUY8n+Jcivz8dT\nkU9hVsAsvfu+rVHW4NecX7EtYxuya7P/3CXTbTgGuwzGxN4Tr7kJFQscERF1qMzSesz84hQAEVse\nHgJvOzOpI3WaJnUTPk38FJtSN8HayBoro1ZijOcYzvB0QU3qJhwsOIivzn2FrJosDHIehBcHvwh3\nC3epoxHRNaRVpWHp/qVQapX4aORHGOA0QOpIbXL5KJhtmdtwougEyprL4GXphX8N/BcGuwy+qpiy\nwBERUYdJvVSHOV+eglwm4PtFg+DrIN3uiJ2pvqUe2zO3Y8OFDShtKr1ys3pX3GiErqbVabElYwtW\nn10NnajD4tDFmN13NowNjKWORkT/daLoBB4//DgsjSzx2e2fdbt7WC+fXffmqTdR2FCICMcILAtb\ndqWkssAREVGHSCmqxdyvTsHIQI6Yhwb1iJm3vLo8fJ/6PXZk7UCTpgnhDuF4IuIJhDmESR2NblJJ\nYwneiH0DhwsPw8HEAYv7Lcbdvnd32jbkRHRt2zO349WTr8LH2gdr71h7y2dE6gOVVoVtGdvw5bkv\nUd5cjgFOAzC772zc4XkHCxwR0a1oVGmwJa4AZ3KrUdmoQlm9CjVNaijVWtiYGWJquCvuG+gBV2vp\nty/ubMmFNZjz5SlYGCvw/aIoeNp27/J2ofICPkv8DEcKj0Auk2O813jMDpyNINsgqaNRG50pOYNP\nEj5BQlkCXM1dMTdwLib1ntQlZlNbtC1QyBR6d88P0a1Qa9V4L+49xKTFYLDzYHww4gNJz7zsTEqN\nElsytmD9+fUoaypDyoMpLHBERDcrs7Qe89afQWF1MzxsTOFkaQw7C0PYmBnC2ECO9NJ6HM+qgFwQ\ncFe4KxYM80Zf5663nXFHOH2xCgu+PQMrEwViFg2Cu033PWOrrKkMH5/9GL9k/wIrIyvMCJiBe/3v\nhb2pvdTRqB2JoohjRcfwefLnSC5PhpHcCCPcR+DZAc926n9rpUaJuNI4HCk4gmNFx1DcUAxbE1vc\n638vpvpNhaOZY6dlIepM5U3leOrIUzhbdhYPBD6AxyIeg4GsZ22GBfy5m/GRwiOcgSMiulkHUkvx\n2OZEGCnkWDu7PwZ621zzuqKaZnxxNAebz+RDqdZhdKAjXr0zCM5W3XdG7ufEIjy9JRluNibYuCCq\nW88+7sndg1dOvAKlVok5fedgYejCLnnmELWvtKo0bMvYhp+zf4aFoQVeHfIqhroO7bDny6jOwLHC\nYzhTcgZxpXFQaVUwkhthqMtQeFp5IrM6E8eLjkOAgEHOg/CvqH/B28q7w/IQdbZD+Yfw8smX0axp\nxitDXsF47/FSR5Ic74EjIroJ2+IL8eSWJAS5WOLzuRFw63Xj2aWaphZ8F5uHNYeyYKKQ49NZ/THE\nt+ufUXMzRFHEJwez8MG+DAz0tsG6uRGwNv371sfdgVKjxLtn3sWWjC0IsQvBW9FvwdPSU+pY1MlS\nKlLwwh8vIKc2B7MCZmFZ2LJ2Xc51rvwctmZuxfbM7RAhwtvKG0NdhmKY6zBEOEZctalKQV0Bfsn5\nBT+k/QARIj69/VOE2oe2WxYiKai1anx49kNsvLARATYBeGvYW91us5JbxQJHRNRK54trMXXtCfT3\n6IVv5g2AseLmzunKKW/A4o3xyC5vwL8n9MWCYd7d4t4VlUaLldvOYXtCEaaGu+KtaSEwMuieZ5hl\nVmfimaPPIKsmC/OC5+GR8EegkHFTi56qSd2Et06/hZ+zfoanpScWhS7CIOdBbdpUob6lHp8kfIKY\ntBgYyAwwM2AmFoYshI3xtWf6/6qgrgCL9y9GeVM5Vg1fheHuw285B5GULjVcwlNHn0JyeTJmBczC\nk5FPXvM8tJ6KBY6IqBVEUcS0z04gv6oZux+Lhp250S2N06DS4MkfE7HnfCkWDvPGcxP76nWJq1eq\nsXhjPE5kV+LJ0f5YPspXr1/PPxFFEVsytuDdM+/CTGGGN4e92aHL5ki//FH0B1bFrUJWTRYAwMHE\nAYF2gRjkPOiaG56IooiLdReRUpGC3Npc2JrYwtnMGRqdBh8nfIy8ujzM6TsHS8OWwsLQ4qayVDRX\nYNmBZUitTMU0/2lYELwAbhZu7fZaiTqSKIrYeXEn3ox9Ezro8MqQVzDWa6zUsbocvShwgiBMBjDZ\n19d3UWZmpmQ5iKjn+v3cJSzddBZvTw3BjIEebRpLpxPx6m8XsP5ELh4e7oNnx/XRy9IjiiKWfX8W\ne86X4t1poZgW0f3eJLZoW3Co4BC+T/0eZ8vOYqjLULw+7HXYmXSvJbDUdjpRh+TyZKRUpCClMgUp\nFSnIq8uDQqbASPeRCLELQX59PtKq0pBbm4t6df01x7EwtMDqEasx0HngLWdp1jTjo7Mf4cf0H6ET\ndZjgPQELQhbAx9rnlsfsLnSiDvl1+ciuzYYoipAJMjRrmlGjqoFGp4GFoQVsjG0QbBfM7/NOVqOs\nwWuxr2Fv3l6E2YfhzWFvwt3SXepYXZJeFLjLOANHRFJQabQY/cFRmCjk+H1FNOSytpctURTx/I4U\nbDqVjydG++PR2/3aIWnn2hJXgKe3JuPZcQFYMqL7vDHU6DRIKEvA/rz9+P3i76hR1cDR1BEPhT6E\ne/zvgUyQSR2R9ERqZSp+zv4ZO3N2okZVA0tDSwTYBMDT0hOBtoEIdwiHp6UnalW1KGksgSAI8LL0\ngqmifXZuLWsqw7fnv8WWjC1QapSYGTATK/qvaLfx9UlaVRo2p23G4YLDqFRWtupz3MzdEOEYgQm9\nJyDKKQpyWfdcGt4VnCw+ieeOP4dqVTWWhS3DvKB5/PO+DhY4IqIb+PJYDl7fmYpv5w/EcP/22zJc\npxPx9NZkbDtbiEdG+eKxO/zbpRx2htyKRkz8+BhC3KywaeEgyXJrdVqUNZWhsKEQRQ1F0Oq08LLy\nQj/7fje1xXSzphknik/gYP5BHCk8glpVLQxlhhjhPgJT/aZikPMgvpmgW6bRadCoboSloaUks+3V\nymp8lvQZYtJi4GzmjPnB83GX711XbYTSHdW31OOP4j/wU8ZPOHnpJEwNTHGb220Y7DIY/8fefYdH\nWWUPHP9Oeu+dBBISICQkQAhduoCICNjB3suq68+26rqurqur7uq6iquuouiuXREsqEiRnpBQEgIk\nkAJJSG+TZJJMpry/Py7Fghhgkkk5n+fJE5i8886dgcy8595zzxnsPxhnB2esmhVXJ1f8Xf1xcnCi\nqb2JqpYqsqqz2F21m/TydJpMTYR6hHJF/BUsjl/cJwPgzmKymliyawlv57xNjG8Mz0x6hqGBQ+09\nrG5PAjghhDiFqqY2ZvxjAykD/HnnhjNPafo1ZouVRz7fw8eZpYyJCeC+mYMZOzAQUKt0+8obaTNZ\nGBTqjY9b9yiWYbJYufS1bRRWN/PtPZOJ6MRWAQaTgSPNR6gwVFBhqKDcUE65ofz43ysNlZg18y/u\n5+Piw8R+qmLfhIgJJ02Fqm+rZ0PpBtYVr2Nb2TbaLG14u3gzJXIK0/tPZ2LERLlQE73KzsqdPJ/5\nPNk12QS4BXDDsBu4cuiVvaafllWzcqD+AFuObGFd8TpyanOwalZC3ENYPHQxlw659LRbfRgtRtaX\nrOfzg5+ztWwrAW4B3JR0E5cNuQxXxzPbCy2UksYSHtz4IDm1OVwy+BIeHP0g7k69t/WMLUkAJ4QQ\np2i+mlQAACAASURBVHDvx7v5MquM7+6ZzMBg25UI/7lPMkv42ze51BnaGTcwgJggT7YV1HKotgUA\nBx2cnxTOrZNjSYr0/Y2zda7nV+fx8rp8XlmcwtzkcJuf32K1sCJ/BR8f+JjculysmvX4z5x0ToR6\nhhLmGUaYZxjhnuFEeEXQz6sfkV6RODk4sbd2Lz+U/MDmI5upa6sDID4gngkRExjiP4TS5lI2H9lM\nVnUWVs1KqEco0/tPZ3r/6YwKHSVVJUWvpmkaO6t28p/s/7C1bCvDAofx/NTnifCK6NTHrWmtIbcu\nFx06HB0ccdQ54uTghLezN14uXng4e+Dl7NWhFGVN09Ab9ZQ2l6qvplL21e4joyKDBmMDAAmBCUyO\nnMzYsLGMDBlpkxX0rOosluxaQlp5GiEeIdw98m4ujL2wR+5htrcvC77kr2l/xdHBkScmPMHMATPt\nPaQeRQI4IYT4FZmH6rjktW3cMTWWB8+L7/THa2238F76YZZtPUSz0UxSP18uSA4n2NuVtMI63ks7\njKHdwuBQL2YmhDI6OoBxAwNPu53B2diSX8NVS9O5OCWSf1w63Obn31uzlyfTnmRv7V6GBgxlStQU\nYv1iCfcMJ9wznEC3wA5fiFk1K3l1eWwp28KWI1vYXbX7+GpdQmACk/pNYnr/6QwN6NmVQIU4E5qm\nsfrwah7f+jhODk48M+mZ066sWmmopNxQTmN7I2arGZPVhIaGi4MLro6uVLZUkl2dzc6qnRTpi37z\nfJ7OngwLGkZyUDJhnmG0mdtoMDZg1awYLUbKmsuOp0sbTIaf3DfcM5zRYaMZGz72rFs5/JaMigxe\n3Pki2dXZjAsfx2PjHyPKW4ptdERzezNPpT/FV4VfkRKSwjOTniHcy/YTgb2dBHBCCHESZouVeUu2\noG9pZ819U/BwsX+KUWObic93HuGbnHIyDtVjsWoEeLqwcGQ/ZiWEEh3kSYi3a6cFI+X6Vua9vAU/\nD2e+uHOiTV+Tdks7S3Yt4Z197xDoFsh9qfdxfsz5Nn0uBpOBypZK/Fz9OtRTS4i+4HDjYe5Zfw/5\nDflcOvhS7k+9/5Spw03tTXx36Du+KPiCXVW7fvP83i7eDA8ezuiw0SQHJePk4ITZasaiWTBbzTS2\nN2IwGTCYDJQ0lZBdnc2B+gNYNAsADjqH46t1EZ4R9PNWq+39vPoR6X3iu6ezp81ek46walY+yfuE\nf+78J1bNyi3Jt3DV0Kt6/b7Cs7Gneg9/2PQHjjQf4bbht3Fz0s29Jn23q0kAJ4QQJ/HK+nz+/l0e\n/74yhfOTut/sYFObiczD9Xy4vZh1uVWYLOo9emCwJwtG9OPy0VGE+tjuQkLfauKy17ZxpKGVz26f\nwJCw0+tNdSp5dXk8vPlhDtYf5JLBl3DvqHtPu/eVEOLMGS1GXtn1Csv2LiPSO5I7RtzB5MjJeDt7\no9PpsFgtpJWnsbJgJeuK12G0GBnoO5B5sfMY4j8EH1cfXBxccHJwQoeOdms7RosRP1c/BvgMOO3K\nra3mVprbm3FxdMHbxbtbV36tMFTwt/S/sa5kHSEeIVwy6BLi/OPwd/XH19UXfzd//F39fzVzwGQ1\nsbdmLzsqd5BXn4fZalb3c/Un0D2QESEjSAhI6NFZAiaLiVezXuWtnLcI8QjhmUnPkBKaYu9h9WgS\nwAkhxM/kHNGz4JUtzB4WxpJFI7v9B6e+xcSO4joO1bTw3d4K0ovq8Pdw5pXFKUyIO/s+Rm0mC9e8\ntZ1dxfW8c/0Ym5wT1F63ZXuXsWT3Evxc/XhiwhNMjpxsk3MLIU7fjsodPLblMYqbigFwdXTF19WX\nVnMrTe1N+Lj4MCdmDgviFpAYmNjt3xu7UkZFBq9nv056efovfuaocyTQLZAgjyCC3YOPF1Uq0hex\nv24/reZWAPp59cPF0QW9UX88dfTY7bMGzGLBoAUM9B3YdU/KBvLq8nhk8yMcqD/A/Nj5PDjmwdMu\nJCN+SQI4IYT4kTaThXkvb0bfamL1/03Gz8PF3kM6bflVzdz2vx0U1Ri4d+Zgbp8Si8MZlvm3WDXu\n+mAnq/ZU8NKikVw43DaFDura6nhw44Okl6czc8BM/jTuT/i7+dvk3EKIM2fVrOyq2kVWdRb1bfXo\njXocHRwZHz6eqVFTcXHsee+JXUlv1FNuKKfB2ECDsYH6tnqqW6qpaa2huvXo95ZqdDodEV4RJAcl\nkxKaQkpICoHugcfPY9Ws1LTWsOXIFlYfXk1aWRpmzczEfhOZHzufKZFTun2V3OUHl/NU2lN4u3jz\n+ITHmRo11d5D6jUkgBNCiB/5y5f7eGtLkc17vnW1pjYTDy/fw1fZ5UwdEsyrV47C3eX0ip1omsYT\nX+5j2dZDPDp3KDdNOvuZX6PFyPeHv+f5zOdpNDbyx3F/ZGHcQpnJF0KIU6htreWTA5/wSd4nVLVW\n4e7kztSoqZwfcz4TIybi7Nh9que2mlt5Ku0pVhasZFz4OJ6Z9MxPglNx9iSAE0KIo7bm17D4zXSu\nGT+Av8wfZu/hnDVN0/hfejGPrczhnLgg3rgmtcMVK61Wjb9+vZ+3thRx4zkx/OmChDMeR4WhgrTy\nNLaXb2fjkY3ojXri/OJ4ZtIzDAkYcsbnFUKIvsZitbCzaierilbx/eHv0Rv1+Lj48PuU33Pp4Evt\nPhlWYajg7nV3k1uXy63Db+W25Nts0sJB/JQEcEIIgSrSMefFjbg5O/L13ZNOe7WqO/sks4QHPs1m\n6pBglixOwcv11FW/Cqqb+etX+1ifV831E6P509yE00rBbGhroEBfwP7a/awtXktmpXrf9nf1Z1zE\nOBbELWBc+LhuXZhACCG6O5PVxLaybby7713Sy9OZFjWNJyc+ia+rfXqFbivbxsObHsZoMfLs5Gdl\nT3MnkgBOCCFQDbtX7i7js9snMCLKz97DsbkPthfz6Iocwn3deGph0i/SQzVNY3dJAx9llPDpjlLc\nnB25d+Zgrp8YfcoZ3cb2RvZU72F39W721OwhtzaX2rba4z+P8Y1hbsxcpvefTqxfrARtQghhY1bN\nynv73+OFHS8Q6hHKc5OfIzk4uUseW2/Us/rwar4r+o70inSifaL517R/MdCvZxVb6WkkgBNC9Hnb\nCmpZ9EYad02P475ZvTelL/NQHQ9+lk1htYGh4T7EBntiNFsxWawU17ZQWGPAzdmBi1Mi+b+Zgwny\ncv3FOfRGPTsqd7CtbBuZlZkUNBSgoeGgcyDWL5bEwETi/OKI9Yslzi+OMM8wOzxTIYToe7Krs7l/\nw/1UtVRxw7AbuG34bZ1WdCavLo//7f8f3xR9g9FiJNonmgtjL+SaxGtwdfzlZ4ewrR4RwOl0unnA\nvLi4uJsPHjxot3EIIXofi1Xjgpc309hqYu19Uzq8R6ynajNZ+HB7Md/uraCq0YiLkwOuTg74ergw\nNymM85PC8Xb76WZ4o8XIN0Xf8EneJ+yp2YOGhruTOyNDRjIyZCQjQkaQFJTU5Y10hRBC/FRjeyN/\nz/g7K/JXMNh/MM9OepY4/zibnLvd0s6G0g18dvAzthzZgruTO3MHzuWywZcRHxBv9/13fUmPCOCO\nkRU4IYStvZ9ezCOf7+GVxSnMTe5+DbvtyWK18FXhV7y06yWqWqqI9Y3lvJjzSA1NZXjw8G5V9UwI\nIcQJG0o28NjWx2hub2ZR/CLmx80/ozR2TdPIqclhZcFKvin6hsb2RkLcQ7h0yKUsil9kt/12fZ0E\ncEKIPkvfamLaP34gLsSLj24ZJ7OHP1LeXM4ft/yRjIoMhgUO4+6UuxkXLq+REEL0FDWtNTyf+Tyr\nilZh1ay4O7kT5R2Fp7MnTg5OOOmccHdyx9vFG28Xb0A1b/d09sTNyY26tjrWFa+jUF+Iq6Mr06Om\nMz9uPuPCx0llSTuTAE4I0Wc98eVelm09xFd3nUNihMwigpptXX5wOX/P/DtWzcrDYx5mftx8KT4i\nhBA9VKWhkq1lWznYcJDixmLazG2YrCbMmplWcytN7U00tTcBKmXebDUD4KRzIjk4mQtiL2B29Gx8\nXHzs+TTEj3Q0gDt1zWkhhOhhco7oeWfrIa4c21+Ct6OqW6p5fNvjbCzdyJiwMTwx4QkivSPtPSwh\nhBBnIdQzlIWDFnboWE3TMFvNtFpacXZwxt3JvZNHJzqTBHBCiF7DatV4dEUOAZ4uPDA73t7DsTuT\n1cT7+9/n9azXabe289CYh1gUv0hW3YQQoo/R6XQ4OzrLHudeQgI4IUSvsTLrCLtLGnj+0uH4uvft\nD6mcmhwe3/o4efV5TOo3iQdGP0CMb4y9hyWEEEKIsyQBnBCiV2hpN/Pct3kkR/qycGQ/ew/njGia\nRr2xnqqWKlwdXenn1e+0ev1YrBZ2V+/m0wOf8lXhVwS7B/Pi1BeZMWBGJ45aCCGEEF1JAjghRK/w\nr7UHKde38fKikTg4dO+KinqjnqzqLLKqs8iuzqbcUE6jsZGm9ibMmvn4cY46R2J8Y4gPiGd48HCi\nvKNwdXSlsb2RxnZ1vN6op8HYQGlzKftq9lFvrMfV0ZUbh93IjUk3Hq9AJoQQQojeQQI4IUSPl1fR\nxNJNRVyeGkVqdIC9h3Oc0WKkuqWaQn0hGRUZHGw4yGH9YUqbSwFw0Dkw2H8wCQEJ+Lj64OXsRZB7\nEKGeobSZ2yjSF3Gg/gDbyrbxVeFXJ30MHTp8XH2I8IxgUuQkJkdOZmLERLxcvLryqQohhBCii0gA\nJ4To0VThkj14uznx0Bz7FS5pbG9kXfE6MioyKGwopMxQRl1b3fGfuzi4EOsXy7CgYVw06CKGBw9n\nWNAwPJw9fvPcmqZRbiinsqWSNnMbvq6++Lj44O3ijZezl/TtEUIIIfoQCeCEEN2Gpmmklaex/OBy\nyg3ltJhbMJqN+Lj4HA9+hgYOJdY39vgK03vph8k4VM9zFyfj79nx/WJnO84GYwNlzWXkN+Tz/eHv\n2VK2BbPVTKBbIIP8BzEtYBphnmGEeoQS6R1JUlASbk5uZ/R4Op2OCK8IIrwibPxMhBBCCNHTSAAn\nhLA7g8nAlwVf8kHuBxTqC/F39WdIwBAC3QJxdXKlvq2eTUc2sbJg5fH7hHmGEeERTWa+lUFDgmnz\nqOWDXGf83fxJDEwkyjvqrMakN+rJqMigrLmMxvZG6tvqKW4qpsJQQWVLJa3m1uPHhnqEsjh+MedF\nn8ewoGHodN17D54QQgghei6dpmn2HgOpqalaZmamvYchRJ+gN+op0hdRYaigprWGIPcgJkdO7lAq\nny1YrBYONx4mty6X3Ppc8uryyKrOwmAykBiYyOKhi5kdPRtXR9ef3O9YGmFeXR4F+gL21x5gfUEO\nJhpwcG7Bqll+cnw/r36MCx/H+IjxTIua1qFqjm3mNjaWbuTrwq/ZdGQTJqvp+M98XX3p792fcM9w\nQjxCjq+IRXpFMsh/kPRWE0IIIcRZ0el0OzRNS/3N4ySAE6JvyK/P54UdL7DpyKZf/MzX1ZdrEq5h\nUfwim1ctNFlMrC9ZT1p5Gnl1eRyoP0CbpQ0AJwcnBvkNIiEwgYWDFpIclNyh1SuLVePmdzPZcKCa\nt64bzaRBgaqCo9VMdWs1u6p2kVaWRkZFBk2mJgLcArhsyGUsjl+Mv5v/z85lIb0inVWFq1hbvJZm\nUzNB7kHMiZnDrAGziPGNwdvFWwI0IYQQQnQqCeCEEIAqrvFC5gt8nv85nk6eXJlwJUlBSYR7hhPs\nHkyBvoC3c95mQ+kGfFx8uCbhGhYPXXxWgZzJYiK3Lpfvi79nZf5K6trq8HbxJj4gniH+QxgaOJQh\n/kMY6DsQZ8fTb7j96g8FPPttLk/OT+Tq8dG/epzZamZ7xXY+2P8BP5T+gJujG9P6T2OQ3yA8nD04\n3HiY1YdWU9tWi6ezJ+f2P5e5A+cyJmyMFAYRQgghRJeSAE4IQVZ1Fg9ueJCqliquiL+CW5Nvxc/N\n76TH7q3dy2tZr/FDiQp0hgcPZ1ToKFLDUgl0D6SiuYJWcyv+bv4q+PMIpsJQQV5dHu3Wdiyahfz6\nfHZV7WJv7V6MFiOOOkemRE7h4sEXMzFiok2Cou1FdSx+I42ZCaH8+8qUDu83K2goYNneZWwr20Zl\nSyWgKkNOjpzMnJg5TI6cfMZFRoQQQgghzpYEcEL0YVbNyls5b7Fk1xLCPMN4bvJzJAcnd+i+e2v3\n8mXBl+yo3EFeXR4aHX+PcHJwIiEggeEhwxkRPIKU0BSC3IPO9Gn8QllDKxcu2YyPmzOf/24ivu6n\nv3oHqmiKyWLC09nzjFYAhRBCCCFsraMBnF2rUOp0unnAvLi4OHsOQ4hepaa1hoc3PUxaeRqzBszi\nzxP+jI+LT4fvnxiYSGJgIqDSL3dX7aapvYlQj1A8nT2pa6ujzFBGTUsNge6BJAQmHC+AEuEZ0Wmr\nWG0mC7f8N5M2k5UPbxl1xsEbgKezJ0jcJoQQQogeSFbghOhFthzZwiObH8FgMvDQmIe4eNDFvaKk\nvcli5Y73drJmfyVvXJ3KuQmh9h6SEEIIIYRN9YgVOCGEbVg1K0t2LeGNPW8Q5xfH0llLifPvHSvb\nZouVez7azff7KnniwkQJ3oQQQgjRp0kAJ0QP12pu5ZFNj7CmeA0XDbqIh8Y8hLuTu72HZRMWq8aD\nn2bzdXY5j5wfz7UTou09JCGEEEIIu5IATogerLqlmrvW3cW+2n08kPoAVydc3StSJgHqDe3c/t4O\n0grruG/mYG6ZHGvvIQkhhBBC2J0EcEL0UIX6Qm79/lb0Rj3/mvYvpvWfZu8h2Yy+1cRlr2/jcF0L\nz16cxOWj+9t7SEIIIYQQ3YIEcEL0QBWGCm5ZfQtmq5l3znuHoYFD7T0km3rk8z0U1Rh494YxTIiz\nXRsCIYQQQoieTgI4IXoYvVHPbd/fRrOpmWXnLSM+IN7eQ7Kp1Xsr+Dq7nPtnDZbgTQghhBDiZySA\nE6IHaTW3cte6uyhuKua1c1/rdcFbY5uJP63MIT7Mm1unyJ43IYQQQoifc7D3AIQQHXOg/gDXfXsd\nu6t287dJf2NM+Bh7D8nmnv0ml+omI89enIyzo7w9CSGEEEL8nKzACdHNGUwG/r3737y3/z28Xbx7\nXcGSY9ILa3kvvZibzolheJSfvYcjhBBCCNEtSQAnRDdlsphYWbCSV7NepaqliosHXcw9Kffg59b7\ngps2k4WHl+8hKsCde2cNtvdwhBBCCCG6LQnghOgmLFYL+Q35ZFVnkVWdRVp5GlUtVSQFJfHC1BcY\nHjzc3kPsNEvW5VNYY+C/N47Bw0XeloQQQgghfo1cKQnRxdrMbRToCyhuLOZw42GKG4spbiomvyEf\ng8kAQIBbAMODh/P4+Mc5p985vaY598lkHKrj1Q0FXJwSyaRBwfYejhBCCCFEtyYBnBCdrMXUQm5d\nLjk1OWwt20pmZSZGi/H4z0M9QhngM4ALBl7A8ODhjAgeQaR3ZK8O2o6pbjLyu/d20j/Ag8cvTLD3\ncIQQQgghuj0J4IToBCVNJazIX8H28u3k1ORg1swAxPjGcOngSxkVOooBPgOI8o7CzcnNzqO1D4tV\n4/cf7kLfauKdG8bg7eZs7yEJIYQQQnR7EsAJYUO7q3bz7r53WVu8Fh06EoMSuTbxWkaGjCQ+IJ5Q\nz1B7D7HbeO67XLYW1PL3S5IZGu5j7+EIIYQQQvQIEsAJcZasmpV1xet4e+/bZFdn4+3izfWJ17Mo\nfpEEbL/if2mHeX1DIVePG8ClqVH2Ho4QQgghRI8hAZwQZ8hkNfFt0bcs3bOUAn0BkV6RPDzmYRbE\nLcDD2cPewzuusLqZvWWNWKwaLk4OpPT3J8zXfmmba/dX8tjKHKbHh/DnebLvTQghhBDidEgAJ8Rp\nMFlNZJRnsPrwatYWr6XB2ECcXxzPTnqWWdGzcHLoPr9Smqbx5qYinvk2F4tVO367TgdTBgezcGQ/\npsWH4NOFe8++yi7j3o+ySIzw5eVFI3FydOiyxxZCCCGE6A26z9WmEN2UVbOyo3IHXxd+zZriNeiN\nejycPJgaNZW5A+dyTr9zcNB1v0Dkn98f4KV1+cwZFsZd0wfh7uJIc5uZ7/dV8HFmKb/P202Qlwuv\nLE5h7MDATh1LVWMbT3y5j6/3lJPS34+3rxuDp6u8/QghhBBCnC6dpmm/fVQnS01N1TIzM+09DCF+\noqa1hk/yPmF5/nIqDBW4O7kzLWoas6NnM7HfRFwdXe09xJMyWaz85ct9/DftMFeMjuLphUk4OPy0\nJYHFqpF5qI6HP99DeUMbb103mvGxnRPE7SnVc+M7GTS0mrh7ehy3TI7Fxan7BbxCCCGEEPak0+l2\naJqW+pvHSQAnxAkmq4ktR7awMn8lP5T+gNlqZmLERC6MvZCpUVO71d62k9E0jUc+38MH20u4eVIM\nD88Z+ovg7ceqm4wsfiON4roW/nZREhelRNp0PKv3VvD7D3cT4OnC0utSiQ+TapNCCCGEECfT0QDO\nrjlMOp1uHjAvLi7OnsMQfZzZamZX1S7WFa9jVdEq6trqCHALYHH8Yi4bchkDfAbYe4gd9vrGQj7Y\nXsLvpsXywOz43zw+2NuVD28Zx+/e38m9H2eRVljLJaOiGBDoQYi36xk3E9c0jaWbi3hq1X6S+/ny\nxrWphHj3zX53QgghhBC2JCtwos/RNI0yQxm7q3azsXQjm49sprG9EWcHZyZHTmZB3AIm9puIs0PP\naiz93d4Kbv3vDi5IDuelK0aecuXt58wWK/9YfYA3NxViPlrwxMPFkYtS+nH/rCH4ebh0+FxtJgtP\nfrWP99KLmTMsjBcuG4G7i+NpPx8hhBBCiL5EUiiFOEpv1JNTk8P+uv3sqd5Ddk02Na01APi7+jMp\nchJTo6YyIWICns6edh7tmSmqMXDhy5sZGOzJR7eOx835zAKmqsY29lc0cbjWQHapnuU7SwnwdOHl\nRSkd2iNXUtfCze9mklvRxG1TYnlw9pDTCiSFEEIIIfqqHpFCKURnKW0q5Zuib/j20LccrD+Ihpqo\nGOAzgPHh40kOTiY5OJkh/kNwdOjZq0MNLe3cuCwDJ0cdr1yZcsbBG0CIjxshPm5AMADXT4zmrvd3\nseiNNM4dGspd0+MYHuV30vvuKdVz/bIMTBYrb183mmnxIWc8DiGEEEIIcXKyAid6Bb1RT0ZFBlvL\ntrKtbBulzaUApISkMD5iPCNDRhIfEI+vq6+dR2pbzUYzNyzLYHdxA/+7aSxjYgI65THe3FTI21sO\noW81MTEukD9dkPCTgiRr9lVy94e78Pdw4Z0bRhMX4m3zcQghhBBC9GaSQil6tfq2enZW7SSzIpMd\nlTvIrctFQ8PT2ZPRYaMZFz6Oyf0mE+UTZe+hdpraZiPXvZ3BvvJG/nn5CC4cHtGpj9fUZuL99GL+\ns7GQxjYTd08fRGSAO5/uKGVLfi3D+vnw1rWjj67gCSGEEEKI0yEBnOh1mtubWZG/gq8Kv2Jv7V4A\nXB1dSQpKYkz4GMaGjSUpOKnHFR85E20mC4veSGNfWSOvXpXC9PjQLnvsOkM7j67Yw6o9FQBEBbhz\nxej+3HhOzFmlbwohhBBC9GWyB070Co3tjWwt28rGko2sL1lPs6mZxMBE7hp5F6PDRpMYmIiLY8cr\nJPYWD36aze6SBl69clSXBm8AAZ4uvLI4hbTCOhx0MDo6QAqVCCGEEEJ0EQnghF1ZrBZqWmuobaul\nuqWaxvZGKgwV5Dfkc6D+AEX6IiyaBV9XX6b3n84VQ64gKTjJ3sO2q29zKvgiq4x7Zw7mvGFhdhmD\nTqfrUFVKIYQQQghhWxLAiS6laRpF+iLWlawjoyKDrOosDCbDL44L9wxnkP8gZvSfwcR+E0kOSu7x\n1SJtobHNxJ+/yGFouA+3T42193CEEEIIIUQXkwBOdCpN0yg3lLOjcgdp5WmkladR1VIFQJxfHBcM\nvIDB/oMJdA8k2D0YX1dfgtyDemw/ts6kaRp/+DSbmuZ2/nN1Ks6ODvYekhBCCCGE6GISwAmbKG0q\nZWvZVg7UHwCg2dRMQ1sDB+sPUtWqAjZ/V39VbCR8LJP6TSLM0z7pfz3Vm5uK+CangkfOj//VXmxC\nCCGEEKJ3kwBOnDGz1cyaw2t4Z+875NTmAODt4o2TzgkPZw/8XP0YFTaKEcEjSAlNYbD/YBx0smp0\nJvKrmvj7d3nMSgjl5kkD7T0cIYQQQghhJxLAiTOyqXQTT6U/xZHmIwzwGcD9qfczKXISMT4x6HRS\nkdCWrFaNh5fvwd3FkacWJsnrK4QQQgjRh0kAJ05Li6mF5zOf5+MDHxPnF8dL015iStQUWVnrRJ/u\nLCXjUD3PXZxMsLervYcjhBBCCCHsSAI40WFZ1Vk8sukRSppKuC7xOu4ceSeujhJQdKaGlnae+SaX\n1AH+XDIq0t7DEUIIIYQQdiYBnPhNJouJV7NeZWnOUsI8wlg6eymjw0bbe1h9wnPf5aFvNfHkgmHS\nLFsIIYQQQkgAJ04toyKD5zKeI7culwVxC/jD6D/g5eJl72H1CbuK6/lgezE3ToxhaLiPvYcjhBBC\nCCG6AQngxEmVNpXyj8x/sLZ4LaEeobw47UVm9J9h72H1GWaLlUdX5BDi7co9MwfbezhCCCGEEKKb\nkABO/ESruZWle5byds7bODo4cvfIu7k64WrcnNzsPbQ+ZdnWQ+wta2TJ4pF4ucqvqRBCCCGEUOTK\nUGC2msmoyODbQ9+y5vAaGtsbOT/mfP5v1P9Js2072Fum57lv85gRH8LcpHB7D0cI0VtZrWBuAxcP\ne49ECCHEaZAAro+yalayqrP4uvBrvj/8PXVtdXg6ezItahqXDbmMkSEj7T3EPqml3cxdH+zCz8OZ\n5y5Jlp5vQgjba6qAnf+F3f+DhmIYMBEmPwADp9h7ZEIIITpAArgexmQ1kVOTQ1p5Gnl1eQAEugXS\n36c//b3709+nP5Hekb9a3v9g/UFWFa1iVeEqygxluDq6MiVyCnNi5nBOv3MkVdLO/rxyL0U1jAnd\n2wAAIABJREFUBt67aSyBXtKiQQhhQ6ZWWP80pL8OFiNET4KE+bDnM3j3QogcDWNvg8SLwEF6ewoh\nRHclAVwPcbD+IMsPLufLwi/RG/Xo0BHtG42jzpHMykz0Rv3xY3XoiPCKIMY3hoG+A3HUOVJmKCO7\nOptyQzmOOkfGRYzjzpF3Mr3/dDydPe34zMQxK3cf4ZMdpdw5LY4JsUH2Ho4QojepOQgfLoaaAzDi\nSph0HwTGqp9NfQR2vgMZb8JnN0Lav+GSt8A/2q5DFkIIcXI6TdPsPQZSU1O1zMxMew+j26lprWFd\n8TpW5q8kuyYbZwdnZvSfwazoWYwJG4Ovq+/xY/VGPcWNxRQ3FVPcWExRYxFF+iIO6Q9h0SyEeIQw\nLGgYqaGpzBwwk0D3QDs+M/Fz1U1GZjz/A3EhXnx063icHWX2WwhhIyXb4f3LwMEJLnoDYqed/Dir\nFfZ8DKseVH+/8CVIXNB14xRCiD5Op9Pt0DQt9beOkxU4OzBbzdS21lLdWk1VSxXVLdVUtZ74XtNS\nQ1VLFfXGegDi/OJ4cPSDXDDwAvzd/E96Tl9XX5KCk0gKTvrJ7ccCdNlL1b09vWo/rSYLz10yXII3\nIYTt7P8SPrsZfMLhqs8gYOCvH+vgAMOvgP7j4JPr4ZNr4dBNMOspcJb0eiGE6C4kgDtLVs1KaVMp\nVS1VNLY30tjeSFN7E23mNtqt7ZgsJpram6hqrToerNW21WLVrD85j4POgSC3III9ggn3DCc5OJkB\nPgMYEzaG+ID4Mw7AJHDr/jYcqObzXUe4a3occSHSJF0IYQNWK2x6Htb/FfqNgkUfgVdwx+7rHw03\nfAdrn4BtS6AkHS5ZBkFxnTliIYQQHSQB3GnQNI2DDQfZV7uPvLo88urz2F+7n2ZT86/ex9nBGU9n\nT0I8QgjxCCE+IJ5g92BCPELUd88QQtxDCHALwNHBsQufjegO6g3tPPBJFoNCvPjdNLk4EkLYQLsB\nPr8N9n8ByZfDvJdOfwXNyQVmPwXR58CK2+E/U2DevyDpks4ZsxBCiA6zawCn0+nmAfPi4rrvhavJ\nYiKjIoP1Jev5ofQHKgwVALg5ujHIfxBzB84lITCBMM8wfF188XHxwcfVB3cnd5wdnGUFTJzSP9cc\noM7QztvXj8bNWQJ4IcRZaiiGDxZD1V6Y9VcYfyeczefQkDlw22b49EZV4KS1HsbcbLvxCiGEOG12\nDeA0TfsS+DI1NbVbfRo0tzez+chm1hWvY9ORTTSbmnF3cmd8+HjuGH4Hw0OGM8B7gKyYibNyqMbA\n++nFLBrTn8QI39++gxBCnMqeT+Hre0EDFn8Cg861zXl9I+HaL9S+uFX3g8UE4++wzbmFEEKcNkmh\nBFpMLeyq2sX2iu3srNxJTm0OZquZALcAZkfPZlrUNMaGj5UeacKm/r46DxcnB+6a0X1XoIUQPYDZ\nCN8+DJlLIXIMLHztRIsAW3FyhUuXwWc3wHcPqzTNyfef3eqeEN3BsWrs8n9Z9CB9MoA70nyEvTV7\nOdx4mO0V28mszMRsNePk4ERiYCJXJ1zN1MipDA8eLqtsolNklTTwdXY5d88YRIi3TAwIIc5Q/SH4\n+Foo3w0T7oIZfwZH5855LCcXuORtWPk7VRylpRbO+5tc+Iqep7kK8lZB7tdweCtYzeAZDBEjYOBU\niJ4MgXG2b2ivaWrCxdwKTu5S3VWcsV4ZwJU0lbC7ajcGk4F2SzuODo446ByoaqliU+km8urzjh87\n0HcgVw29ivER4xkRPAIPZw87jlz0BZqm8cw3uQR6unDzpBh7D0cI0VPlroIVt6k/X/E+xM/t/Md0\ndIaFr4N7AKS/Cu7+MPUPnf+4QthCWyNseBbSX1NBm98A1TrD2QOayqE4TbXeABVg+UdDQIxqvxE0\nGILjIXiw+n/fEVYLFKyHrPfh4PdgbELlOKMec8j5MOYWiBojEyHitPTKAG5X1S7+uPmPv7jdUedI\nUlAS96fez+iw0QzwGYCns6cdRij6so0Ha9hWWMvj8xLwduukmXIhRO+labD5BVj7FwgfAZe9oy40\nu4pOB7OfhrYG+OFpdTE79paue3whzkThBlh+CzRXwsirYOytEDrsp4GTpkFtARRvheo8qCtSq9wF\n69Wq2TFeoT8K6Iaor6Ah4BWifl6ZA9kfw55PVGDo5gcJ88E7DJzcwNkdavMh5zPI+RSixsHkByBu\nhgRyokN0xxo921NqaqqWmZlps/M1tTdR31aPh7MHLo4uWK1WzJoZX1dfnB3kglnYj6ZpzH9lC/Ut\n7ay9dyouTtK0W4gezdQKlfvUnwNjwd2vcx/PaoVV90HmWzDsYpj/b/ulYVlM8PE1KhVt2h/VBahc\nfIruxmqFDc/AhucgaJDaI9pv1OmfQ18M1QegOlcFdzV56rux8cRxjq7g4AimFnBwgriZMGIRDD5P\n7SP9OWMz7H4ftvwLGkshehLMX9K1EzKiW9HpdDs0TUv9zeN6YwAnRHe14UA11761nWcvTuLy0f3t\nPRwhxOmwWqBqH5RnQdV+KNsFpZlgMZ44JiAWIlMhZjLEzgCfcNuOYf3TKgVs4u/h3CfsHzBZTPDF\nXZD1AaTeAOf/Q13ACtEdWEyw4g7Y8zEMX6T+f7p62e78mqZW2KqPBnNNZeoxQxNh0GzwCu7Yeczt\nsPMdWPOESu0c/zuYeDe4SYXqvkYCOCG6GU3TuPS1bZQ1tPLDA9Nk9U2Ik2koUTPcVouasfYOV2lH\nbr72CVaaKlWa08HVKlhrb1K3O7mpi7SocTBgvJptr9yrgrqSdDBUq+Mix6jUqYQLwe8sJ232fKp6\nsY24Eua/Yv/g7RhNg7VPwOZ/wqBZao+cR4C9RyX6uvYW+PQGOPANzHgMzrm3+/zO/JqGEljzZ/We\n4xEIc56DpEvsPaquV38YDm1S1W7d/VWqeGcUlemGJIATopvZVlDLojfS+Mv8RK4ZH23v4QjRPWga\nHNkJu95V+0waDp/8OAcndUHjFQIxUyBhgVrp6owLsrZGyP1K7WEp2gCaFUISoP94iBqr0q8CYn59\npUnT1Epd3irYtxIq9qjbw0dA7HToPw4iR59ekJPzGXx2s7rv1Z+fPB3L3jKWwrcPgWeISgOLnWbv\nEYm+qqlCVWctSYfz/97zms+X7YJVD0BpBqRcCxe82LuDl9Z6KNoEhT9A4XqoK/zlMW5+ahV1zM22\nb5PSjUgAJ0Q3c9Wb6eRVNrHpwWm4OUuKkejjmipVgLPjbZWS6OypLvijJ0HESFXt0NSiLsSaKlTJ\n+pYaaCiGQ1vAalLpiiOvgsGzVYB1tsGcoVYVB8lYqgoW+A2A5Msg6TJVee5M1RXCvi9UUFi2S6VI\ngZpZ9umnypd7Bqvg1MERdA7gEaQuUpqrVJnzPR+rAHLxx7ZNAbO1sl2q4Xd9kUohm/WkKvDwY+Z2\nVeShOE1dYDcUq39jQzX4RanXxCdCvSYuXuDiqYpGxE7veEqa6LsKN6iVt3YDLHwVEhfae0RnxmJW\n7To2/1OlJ899ofuvIHaUuV397heuV0Fb2S41UebiBQMmqs+CgdPUe0Bzhfp5wTo1IWY1Q/wFMO52\ndWxveU2OkgBOiG4kv6qZc1/YwAOzh/C7adK4W/RRNQfVStLeFVC9X90Wkgijb1BBkptPx87T2nA0\n+FumLgJApVrGTj/xdTqrWzX5sPs92P4GmAyQfLm6YIocbfuLg3aDWnEs360Cu6YKFaQZqsBQo1JH\nNcuJIA/UyuOQOSqdyqUHVE42tcH212Hj8yrlNHK0SoN1cFKV96pyT+wb9O2vCkt4h4OH/4lgrrEM\nWurUv8dxOoiZBKNvgvh5vXtFQpw+TYOtL6sUxKDBcNm7v5w86Gk0DdY8DltehAl3w8y/9OyAxdik\n3re3LlGBmc5RZVIMnKoCtsjUU/exbKqAjDfVe3Vbg0qrTLkWRiwGz6AuehKdSwI4IbqRJ7/ax7vb\nDrH1oRkEe3fD1CchOouxGbI/hB3vQEU2oFOzpoNnqVTI8OFnd0GiPwIFayF/rZrJbWtQFwWDZqoP\n9V+r/tZcDXuXQ/ZHcGSHWvWKv0BVUwyJP/Px2IKmqeCl/pCqahkwsGdetBlqYduSE3sCLe3qgitk\nKESkqHRU336nPofVqoK42gIVtGd9oIK8mMmw4FXwjeya5yK6t3YDrLxT/U4nzFfVWbvzSvXp0DRY\ndb8KXKb/CSbfb+8RnT5TG2QuhY3/gNY69fs75hb1/UwKtbS3qNW4HcugJA0cnGHoBTDqenXOnvh+\neZQEcEJ0E20mC2OfXss5g4J4ZXGKvYcjRNcw1ED66+rLqFeBWvIVkLhApcd1BqtFrW7lfqUCs6Zy\nlaYYO10Fja4+UJEFhzartE3NCmFJasVt2CW2rxgpbM9qgZ3vwupHVaB+7mOQch049sq2tqIj6grh\nw6vUqv6Mx2DiPT36Av6krFZYcZt6X5v1FEy4094j6rgD38HX96s2DAOnwfRH1UqbrVTlqgqeu99X\nE3jB8WqfXPIV3S+Ir8mHncugbLcKXP36q0ko30jwiQQnF3ThyRLACdEdfLajlPs+yeL9m8cyIbZ3\nLPEL8auaKmH9U5D1oUqTGzpPpf50RjriqVgtan9F9sdQtFEFcwCOLtAvFaLPUXtjQhO6bkzCduoK\n4cvfq39bvwFqVWL4Ygnk+pojO+F/F6k/X/KWmqzprSxmVYV23wo493E45//sPaJTa6qEb/8Aez+H\n4KEw5xmVKtlZTG1qBTb9dZWi7uqrKngOmqn+X9ir8FNjucoc2LtcFbRycFIZCMZGVXX0J2nioHui\nUQI4IbqDi/69hYYWE2vvm4Kut80KCnGM1aoqSX7/mGpuPeJKtcm8O+xB0TRVVMNiUjOezu72HpGw\nBU2DA9+qBs1lO9W+pxl/hvi5vW8FRvzSoS3w/uVqv+s1K1SqcW9nMauVuD2fwJSHYOpD3e//utUK\nu/4L3/9JBVVTHoAJvwcnl655fE1T1TvTX4PcVaoglauvmrSLnaZS5W2dbWExQ5seGo9AzQG1h9nc\nph4//3uV7RE5RmWgDLtY7Qk+Nta2BtCXqu0AVhO6hAslgBPC3vaXNzLnX5t4dO5QbprUBz5cRN9U\nfUCthhRvVVUkL3gRgqRYj+gimqb2x615XF08RY5RlUm9w1VlT48AVeXUyUVVtXP1tveIxdna/5Wq\nNOk/AK5e8dt7KXsTqwW+uEsVXhp6IVz4stora2+aprIeNvy9+3wWmNtVK5j9X6jV+vpDqH3YE1QG\nRtwM8Is+/YJIViuUbof9X6rzVu5Vxad+zitM7cUeeVWHWx/IHjghuoE/rcjho8wS0h+egb9nF80+\nCdFVLGbY8k+1AuLsAbP+qj6outuMsOgbLGY187/lxaMXaifh5KZmwEcsVk3YJeWy59n5X/jybpWG\ntvhj8Ay094i63o8rbrr5wfg7YMytHa/ka0umVpUimPaqmkDxDFYr4d3xs6A6T6V05iyHmjx1m7On\nSqUPSYDQYRCaqP7u7n/iflar2mNZtFH1qzu8Ra2cObpC1Bi1RcArVFXCDEkAZzdVGMu3/2kHhxLA\nCWFnBqOZsU+vZVZCKC9cPsLewxHCtqoPwOe3qtS1xIWqxL1XiL1HJYTSbjjanqFa9RA0taoqmMVp\nKv2svVldoA2aDdETVWsKQ7W6z8grVSU70f1sf0NVZIydAZf/t2e01ehM5dmw7kk4uFoFELP+CkmX\ndn7gZKiFg9+ple+C9er3KWIkjL1dpQnaa7/Z6ajar1ItK/ce/cpRDcWP8emnCl+11quvY61P/KNV\nOmbMVBhyns1X9CWAE8LOPthezMPL9/DpbeNJjT6NnlTCvloboK5AVVH0DFYlz89kz9Sx3PbmatWA\nGtQHgm9Uz+5fZbWqvQVrn1CrbnOfh2EX2XtUQnScsUm1ncj7Ru2ha2tQtzu6qP/TbQ2QeJFq4h49\nqftVsuuLNE2t9P/wNAyZC5e+3TOChK5yZIeq9Fi2EwIHqeJRAyZC/7G2CzCsFhWs7Xhb/e5oFvCO\nUOnKSZf0/Kbamqb6zB0L5qr2gakF3ANUimrQENWH0q9/pw5DAjgh7Gzey5tpN1v59p5JUryku9I0\nKN6mKiYWbVSz7z+rCIXOQb1xhw+H8GRV8c4rRH0otjao2f3GI6o3Vf0h9d1Qrb5+3Iz5mOB4tfF8\n6PyeF8jVH4YVd8Dhzaq/2ryXwDvU3qMS4sxZTOp31s1PXaRZ2uG7P8KeT1X7C2cPmPYIjLsDHBzt\nPdq+ydSmUiazP1Kl4ecvOXWz577KaoGcz472RktXnz+OrqoKY9RYGDgFwpJPBFkWswr46g+r29z9\n1KSlR9DRfaNHJy71pbD7A9W+Q18MHoEqBXnYxRA+omcHbd2QBHBC2FHOET0XvLyZv8xP5Jrx0fYe\njvi51nrVMyZjqVptc/aEuOlqdcw7XG029gxRpecr9qieYeVZ0Fzx6+d0clcb6v36H82FDz7x5XF0\nBbauUKUA1eSpXPuZf1GbqHuCrA/h6/sAnSoHPeJK+eAWvZepVe1zyViq0sQiRsKC1+zf5L2vaaqE\nj65UqW7TH4VJ98v7Tke0G9Rrtv8rVQXx2J7QgFhVwKO5Sk1eGht//RzOHurrWAbJwKkw6jq1AtpV\nFSX7IAnghLCjv32zn6Wbish89Fz8PDr4RmdsgtoCNdtlaVebkb3DwT8GXDw6d8C9nbld9YU5vFVV\npCraqGYno8bCqOtVuklH0qSaq9Rqm6FGffC5+6v0Cp8IFah15MLCalEbqNf/VX2oDpqt0hD9os76\naXaK9hb45gHY9T+VIrPwtU5PIRGi29A0VfTgmwfV+8gV/5P9cV1l7wo1aWRqgYWvQ8KF9h5Rz9Vc\npSYicj5T+5fdfFQgN3AqhCQCmprYNNSo7JHWOmipU9clQYNUa46+0KahG5AATgg70TSNyX9fz8Ag\nL965YczJD7JaoGy3Krl7aBNU5Z5idUenLu6D41VPrejJKhWit+T/N1epdI/aAtCXqBz05kqVuhg+\nXDVd7j9OBQ0dnXm1mKBsFxRuUAFbaYbqyQJqf8CQOWqjd3hy5z2v32I2qoajPzyjnuvMx1Uw2Z3S\ntKoPwMfXQHUuTH4ApvxBqvaJvqmhBN67BOqK4JqVMGC8vUfUOzVVwMHvVbPq/DUqRW/Bq6oqoBB9\ngARwQtjJnlI985Zs5rmLk7ls9I9WVUytaiY392sVtLXp1e2hSSpQCYyFwDgVqDi5nmgKWVugLqCr\nD6gSvRYjuHirvPb4uTBoln1KB5+p1gYo2a4Cq4L1ULX3xM/c/E70brKYoCJbVbcCtdoVlqRWgeJm\nnmjEaahRaZC1BSpFseYAVOSo5p2g7hM9CfqPV4Fgd6uUWH8IvrhbvR4RI9VqXL9R9h6Vqtb3/mXg\n4AwXvwGx0+09IiHsy1ALb81S7zk3ru4eTep7g2PtH3a8rVLVQRV8Gn0TTLhbJo1EnyIBnBB28sw3\nuby5qfBE+mRTparat2OZSkvwjVJpC7HTIGaK6hvSUaY2lf6X+yXkrlK56Y4uakUp5Vp1kd3d9gc0\nlqlc+8PbVFBQmQNoanN1/3HqtYieBMGDwc33p/e1WlRFqJL0n+5F41fet7zCVBAcnqx6s0RP7hk9\ngjRNpbZ894i6ODz/OXXxYi8HvoOPr1WpoVd/rvb2CSHUhMubM1WBh5vWglewvUfUc7XpIesj2P46\n1Oar1baEC1VaeWhi9/ssE6ILSAAnhB1omsY5z64nLsSLd+b5qhS5Xf8DqwmGnA9jb1XBii0+mKwW\ntZK1b4WqmNZSA8FDYdztqvz1mZS+twWrVa2IZX0IOZ+e2Dzt4qWaXR5bCYsac2ZjbCxXJZMN1ep1\ndPNVG7MDBvb8ct+tDbD8ZtXTZ/TNcN4zXTv7rGlqouHr+yBsGFz5mVygCvFzR3bA23NV/7grP5VA\n43S01KnUyAPfqVL0JoPKPJh0H8RfIK+l6PMkgBPCDjILq3jjzVd4MmIbITXpanVs+CKY+HuVItlZ\nzEZVGCPtFbVS5REIqTfC8CtUYGPLD0VzOxiqVBEQq0WV4K7ar3qmVO1X6Z7tzWpfV+x0iDtXBWyh\nSZIK0xFWC3z/GGxbotJjL32na4rYGGpVqe7cr2DgNLjs3Z6VmitEV0r/jyrus+BVVVJd/LrWBtj5\njsoaKd0OmlWVqh8yB1Kv7x4p40J0ExLACdGVWhsg4030m17H11SF1ScSh9E3Qso1p5ciebY0DQ5t\nhrR/q9lNNHD1UekoYUmqdH1Y0m83p9Y0lcrXcFjtK6vIVoVWavNVwKZZfnkfj0AISVDnDklQwYdv\nv057qr1e5lvw1b1qxXLxh79ML7Wl/LWqv1tLLcx4DMbf2fN61AnRlaxWWHa+mri6c4esVJ+MpkH2\nx7D6UTXpF5YEg+eoxs8RKfIeI8RJSADXlxz7N5TUg46xWqG+SK0UtdSBk5sqbBE0SBXQOJ3XsSYf\nMt5UaZLtTWwjmex+l3Prjbfbv5pgXSEUbVIrchV71N6zYwVBdI7q+YYlndiI31ytArb6w+q7qeXE\nuRxdIWgwBMWpPWa+kWp1UecI3mEqYJMLGNvL+QyW36Je36s+s30BFlMbrHkc0l9VVU4vesO+lTmF\n6EmqD8Cr41VD44v+Y+/RdC+1Bao40+HNaoVt7vMqVVIIcUodDeAkn6mnMRth/5cqB7+uSAUi9YfA\nwQkCYlS6XEAsDD5P7TGSoE6Vfy5JV6Xky7NVMNPedPJjnT1OVIN091c9sEwGldbm/KM0NqsZag6q\nCooOzpC4kM0hi7nq6xaWnpNq/+ANjv5f+FHfFqsVGg6dCOgqclRhkT2fqJ+7eKtiFQEDVYEVvwHq\n7/7R6vVwdLbHs+jbhl2sVlA/uhr+MxUu/6/t0o0qctR+u6p9MOZWmPmE/fZNCtETBQ9WjaU3PKOq\n44661t4jsj9NU+mS3z6iUuYveFEV2JLVNiFsSlbgeor6Q7DjHdj5ripW4eR+ImDzj1YBRV3h0aDu\nkCqaEZKg3jiHzrNdKpumqaBRf0Sl0Wmamrk/VtK9O9A0FbBlfQD560BfrG539lArTmHJapUhNFE1\nXzYbj5brz1ezhrX5KjgzNqm9R86eKiAztQBHA2KdTr32/cfDiCvBO5Qr/rONkrpWNj44DUeHHhQ4\nt7eoCQBHZwn4u6vyLPjoKlXRdN6/YMSiMz+X1apW3NY8rto2LPi3akkhhDh9VovqD3doM9zwHfRL\nsfeI7MdQC8tvgoJ1qljXwtdUtoYQosMkhbKns1rVzHjhetU77MgOVRRi8BwYcxPETP31GS1jkypo\nkbn0aMl1HcRMVoHGwKkqDaujF+rtLaohcul2KMlQ3w3VvzwucjSk3gCJC+0zi9/eogLL/DUqnbHm\ngAq8Yqep5x41Vu3/6qQiGgcqm5j1z4384bx4bp/aicVKRN9lqIVPrlU9BEddB7OfBhfP0zuH/gis\nvAMKf1BVUS98uWv3aArRG7XUwetT1J9v3QAeAfYdjz2UZ8GHV0FzJZz3NIy6QVbdhDgDEsD1VMXp\nsOFZle5nbFS3hQ+HxItUOpVf1Knv/3M1B9U+mt3vqeIToIohhA9XqVj9UiEyVe1jAhU4VmSrAhgH\nV6s/W83qZwGxKi0zaoz6s6Ozmn08skOdv+aAmtEfcaUK5oLibPOanErlXtj+H1VG/9j+rqhxkHI1\nJCzosrLyj63M4cOMEtIenkGAp0uXPKbogywmWPckbHlJrcBf9Ib6/f0tx9KaVv9J/T7PfgpGXS8r\nrkLYypGd8NZstfJ05SfdI42+q2R9pCrYegTaNs1biD5IArieprYANr8Au95ThTSGzFGrWtETwa//\n2Z/faj3aDDlblXov26WKWhwLznwiIXCg2iPW1gDoVKA2YIJavYocfeqZ+mPVDzOXqj16VrPq6TL2\nVrU3wNYfZoe3wqYXIP97lU467CJV+jxy1E/3fXUBg9HM2KfXMjMhlH9ePqJLH1v0UYc2w+e3qSbp\n5/1N/Z6djL5UVYHL+hBq8tTF5YUvdfnviBB9wo5l8OXvYcofYNoj9h5N57OY4Ot71daOAefApcuk\nmJUQZ0mKmPQEmqZyxdf+Bcp3q6p+438HUx+2/cqRgwMMGK++jjG1qoDtSKZaRavNV/vloiep/l2n\n80as00HMJPXVVKkCufTXVU8pzxAYeaUqlHC2e+UOb1MrEIe3qD4y0x9V/c7smLLyVXYZzUYzV461\nQaAtREdEnwO3b4HPb4dvHlQr7RN/D00VKpW4ap9KJ67Yo46PGgcLX4ekyyStSYjOknItlGxXWTS+\nkaqNTG9laoOPr4GD36km3FMflkJXQnQhWYGzB7NRXVylvar2s/gNgLG3QeIC8Imw9+hsp92g0jD3\nfAp5q1ShjFHXq+fp7q8CMM+gjqVxVe5Vge6Bb8ErVH1gjLy6axoc/4ZLX9tKnaGdNfdOQScpaaIr\nWS2w5s+w9eWf3q5zVCvng85V+1JlxU2IrmFuhw+uUPvXL/svDL3A3iOyvXYDfLAIijbCBS+oLRNC\nCJuQFMrupqVOpf3lfq1WpYyNamVq8v2qIIGTq71H2LnqClXK4+73f9oE2tlT7eXx6w++UWrW0i9K\n7aVrqVWBW3EaFG8FV1845x6VLna6xRs6yaEaA1P/8YMULxH2VfiD6t/nFaKCNb/+0hJACHsxNsO7\nF6pWHTd807v2hLU1woeLVRbM/H+fXUVcIcQvSADX1eoPwb6VqvhIUwU0V0Frgyrnr1nB3KaOc/VV\naYrDFkLMlL6XctBYpvbgtelVNctjvewaSkBfcqJwyzEOzhASrwqSpN7Q7ap7Pb86j1fW57P1oRmE\n+brZezhCCCG6A0MtvD5ZTaTctql3TKhU5apKuDUHVUp28qX2HpEQvY7sgbMVc/uv98cytamCHbve\nVakEoGa/faNU+pJHwNH7OqgVpf7jVY+Y3r7adio+EadOE23Tq2CuTQ/ufhA4CJy6Z1WKwYi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nwfw5skSZKkHWpQgAPuAE7YdkUIoRS4BTgRGAacHUIYltPqilhNXT2X3v0GH6zdzO1fPpjKvp2T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\nJElSSvwvhF8pct94aR8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cf89748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "close_px.rolling(60).mean().plot(logy=True, figsize=(15, 8))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "rolling函数也接收字符串，用来指定一个大小固定的时间偏移量（fixed-size time offset），而不是用一组周期数字（a set number of periods）来表示。使用这种计划对于没有规律的时间序列很有用。同样的字符串也可以传递给resample使用。例如，我们可以计算一个20天的滑动平均（rolling mean）：\n",
    "\n",
    "> 译者：在运行下面的代码时，出现了报错，发现是pandas版本的问题，运行`conda update numpy`会把包括numpy，pandas之类的很多库进行更新，之后就不会报错了"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                AAPL       MSFT        XOM\n",
      "2003-01-02  7.400000  21.110000  29.220000\n",
      "2003-01-03  7.425000  21.125000  29.230000\n",
      "2003-01-06  7.433333  21.256667  29.473333\n",
      "2003-01-07  7.432500  21.425000  29.342500\n",
      "2003-01-08  7.402000  21.402000  29.240000\n",
      "                  AAPL       MSFT        XOM\n",
      "2011-10-10  389.351429  25.602143  72.527857\n",
      "2011-10-11  388.505000  25.674286  72.835000\n",
      "2011-10-12  388.531429  25.810000  73.400714\n",
      "2011-10-13  388.826429  25.961429  73.905000\n",
      "2011-10-14  391.038000  26.048667  74.185333\n"
     ]
    }
   ],
   "source": [
    "rolling_mean = close_px.rolling('20D').mean()\n",
    "print(rolling_mean.head())\n",
    "print(rolling_mean.tail())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 1 Exponentially Weighted Functions（指数权重函数）\n",
    "\n",
    "另一个用相同权重计算固定窗口大小的方法是指定一个常数衰减因子（constant decay factor），把更多的权重给最近观测到的数据上。有很多方法可以指定衰减引子，一种方法是用span，生成的结果与滑动窗口函数是有可比性的，当然，窗口大小与span的大小要一致。\n",
    "\n",
    "因为一个指数权重统计方法会把更大的权重基于最近观测到的数据上，这种方法带来的变化比平均权重方法要快很多。\n",
    "\n",
    "pandas有一个ewm操作符，可以与rolling和expanding一起使用。这里有一个例子，在设置EW移动平均（moving average）为span=60的情况下，比较苹果股价的60天移动平均："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "aapl_px = close_px.AAPL['2006':'2007']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ma60 = aapl_px.rolling(30, min_periods=20).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ewma60 = aapl_px.ewm(span=30).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11cf9f128>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mJGnWrFmKj4/Xiy++aHOyjIcSBwAAAOBf/frrr5ozZ45effVVFS1aVLdv39bs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\n+V4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cfa87b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ma60.plot(style='k--', label='Simple MA', figsize=(15, 8))\n",
    "ewma60.plot(style='k-', label='EW MA', figsize=(15, 8))\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2 Binary Moving Window Functions（二元移动窗口函数）\n",
    "\n",
    "一些统计计算符，比如相关性和协方差，需要在两个时间序列上进行计算。例如，经济分析通常喜欢比较一只股票与基础指数标普500之间的相关性。我们先计算一下时间序列的百分比变化："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "spx_px = close_px_all['SPX']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "spx_rets = spx_px.pct_change()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "returns = close_px.pct_change()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在我们调用rolling后，corr聚合函数会去计算spx_rets的滚动相关性（rolling correlation）："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x110babcf8>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CiIuFEFuFENuFELemeP4WIcRa678NQghdCJEcvhMREREVUDCiZ2wckCorUiqt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+5atvDg6oLFTZP+Xk5baj/rlvZBnH/vy+OuJ+R+8txOAMCDH1+pB4f839rjNL+/T5xdh9YaL6o8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\nYCRtAAAAAJBg/w9tGHPb0wDOvQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11165de80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr = returns.AAPL.rolling(125, min_periods=100).corr(spx_rets)\n",
    "corr.plot(figsize=(15, 8))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "假设我们想要一次计算很多股票与标普500指数的相关性。写一个循环，创建一个新的DataFrame虽然简单但是重复性高，所以我们可以传入一个Series和DataFrame，然后用rolling_corr这样的函数来计算每一列与Series的相关性（在这里例子里，Series指的是spx_rets）："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "corr = returns.rolling(125, min_periods=100).corr(spx_rets)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11165deb8>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ah7Unuyy7yvoyaxnXL77eY92CaxbQN86zwmCwPpi7B97N2K5juXbRtXy892MA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\ng8Yn52tCDAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109cdddd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr.plot(figsize=(15, 8))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3 User-Defined Moving Window Functions（用户自定义的移动窗口函数）\n",
    "\n",
    "在rolling上使用apply或其他一些方法，可以在自己设计的移动窗口上应用函数。唯一需要满足的是，在数组的每一个片段上，函数必须产生单个值。例如，如我们想要用`rolling(...).quantile(q)`计算样本分位数，我们可能对于某个特定值的分位数排名感兴趣。scipy.stats.percentileofscore函数就是用来做这个的："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from scipy.stats import percentileofscore"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "score_at_2percent = lambda x: percentileofscore(x, 0.02)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "result = returns.AAPL.rolling(250).apply(score_at_2percent)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1135d4dd8>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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lSW3RkCTpPf/7xKB9pkaCQx8jFtS2rqRe+qVV3rbZrU1DP4GjEAEdAAAAgIrs7s7NvH38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\nIiIiIodiQEdERERERORQ/x8tObkpK6UY0QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1135cab70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result.plot(figsize=(15, 8))"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [py35]",
   "language": "python",
   "name": "Python [py35]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
